{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# The ``inline`` flag will use the appropriate backend to make figures appear inline in the notebook.  \n",
    "%matplotlib inline\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "# `plt` is an alias for the `matplotlib.pyplot` module\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# import seaborn library (wrapper of matplotlib)\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load car loan data into a pandas dataframe from a csv file\n",
    "filename = 'data/table_i702t60.csv'\n",
    "df = pd.read_csv(filename)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>month</th>\n",
       "      <th>starting_balance</th>\n",
       "      <th>interest_paid</th>\n",
       "      <th>principal_paid</th>\n",
       "      <th>new_balance</th>\n",
       "      <th>interest_rate</th>\n",
       "      <th>car_type</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>34689.96</td>\n",
       "      <td>202.93</td>\n",
       "      <td>484.30</td>\n",
       "      <td>34205.66</td>\n",
       "      <td>0.0702</td>\n",
       "      <td>Toyota Sienna</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>34205.66</td>\n",
       "      <td>200.10</td>\n",
       "      <td>487.13</td>\n",
       "      <td>33718.53</td>\n",
       "      <td>0.0702</td>\n",
       "      <td>Toyota Sienna</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>33718.53</td>\n",
       "      <td>197.25</td>\n",
       "      <td>489.98</td>\n",
       "      <td>33228.55</td>\n",
       "      <td>0.0702</td>\n",
       "      <td>Toyota Sienna</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>33228.55</td>\n",
       "      <td>194.38</td>\n",
       "      <td>492.85</td>\n",
       "      <td>32735.70</td>\n",
       "      <td>0.0702</td>\n",
       "      <td>Toyota Sienna</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>32735.70</td>\n",
       "      <td>191.50</td>\n",
       "      <td>495.73</td>\n",
       "      <td>32239.97</td>\n",
       "      <td>0.0702</td>\n",
       "      <td>Toyota Sienna</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   month  starting_balance  interest_paid  principal_paid  new_balance  \\\n",
       "0      1          34689.96         202.93          484.30     34205.66   \n",
       "1      2          34205.66         200.10          487.13     33718.53   \n",
       "2      3          33718.53         197.25          489.98     33228.55   \n",
       "3      4          33228.55         194.38          492.85     32735.70   \n",
       "4      5          32735.70         191.50          495.73     32239.97   \n",
       "\n",
       "   interest_rate       car_type  \n",
       "0         0.0702  Toyota Sienna  \n",
       "1         0.0702  Toyota Sienna  \n",
       "2         0.0702  Toyota Sienna  \n",
       "3         0.0702  Toyota Sienna  \n",
       "4         0.0702  Toyota Sienna  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# View the first 5 rows of the dataframe\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 60 entries, 0 to 59\n",
      "Data columns (total 7 columns):\n",
      " #   Column            Non-Null Count  Dtype  \n",
      "---  ------            --------------  -----  \n",
      " 0   month             60 non-null     int64  \n",
      " 1   starting_balance  60 non-null     float64\n",
      " 2   interest_paid     60 non-null     float64\n",
      " 3   principal_paid    60 non-null     float64\n",
      " 4   new_balance       60 non-null     float64\n",
      " 5   interest_rate     60 non-null     float64\n",
      " 6   car_type          60 non-null     object \n",
      "dtypes: float64(5), int64(1), object(1)\n",
      "memory usage: 3.4+ KB\n"
     ]
    }
   ],
   "source": [
    "# Checking to make sure we dont have nans in our dataframe\n",
    "# It is not easy to directly plot data that contains nans\n",
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# For this notebook we will graph interest_paid, principal_paid, and month on one graph\n",
    "# While we could graph directly through pandas, we will graph through matplotlib for now.\n",
    "month_number = df.loc[:, 'month'].values\n",
    "interest_paid = df.loc[:, 'interest_paid'].values\n",
    "principal_paid = df.loc[:, 'principal_paid'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,\n",
       "       18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34,\n",
       "       35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51,\n",
       "       52, 53, 54, 55, 56, 57, 58, 59, 60])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "month_number"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "numpy.ndarray"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The values attribute converts a column of values into a numpy array\n",
    "type(month_number)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Saving plots to files\n",
    "Saving your visualizations outside your jupyter notebook is important as it allows you to show your visualizations to others. Equally important is checking your saved visualization as there is always the possibility the graph doesnt look the same in the notebook as in the image file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use('seaborn')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MATLAB-style"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# an image may good in the notebook, but it may not save that way\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(month_number, principal_paid, c = 'b', label = 'Principal')\n",
    "plt.plot(month_number, interest_paid, c= 'k', label = 'Interest')\n",
    "plt.xticks(fontsize = 20)\n",
    "plt.yticks(fontsize = 20)\n",
    "plt.xlim(left =1 , right = 61)\n",
    "plt.ylim(bottom = 0, top = 700)\n",
    "plt.xlabel('Month', fontsize = 22);\n",
    "plt.ylabel('Dollars', fontsize = 22);\n",
    "plt.title('Interest and Principal Paid Each Month', fontsize = 24)\n",
    "plt.legend(loc=(1.02,0), borderaxespad=0, fontsize = 20)\n",
    "\n",
    "plt.savefig('images/mslegendcutoff.png', dpi = 300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# tight_layout()\n",
    "# automatically adjusts subplot params so that the subplot(s) fits in to the figure area\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(month_number, principal_paid, c = 'b', label = 'Principal')\n",
    "plt.plot(month_number, interest_paid, c= 'k', label = 'Interest')\n",
    "plt.xticks(fontsize = 20)\n",
    "plt.yticks(fontsize = 20)\n",
    "plt.xlim(left =1 , right = 61)\n",
    "plt.ylim(bottom = 0, top = 700)\n",
    "plt.xlabel('Month', fontsize = 22);\n",
    "plt.ylabel('Dollars', fontsize = 22);\n",
    "plt.title('Interest and Principal Paid Each Month', fontsize = 24)\n",
    "plt.legend(loc=(1.02,0), borderaxespad=0, fontsize = 20)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig('images/mslegend.png', dpi = 300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Object-oriented"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# an image may good in the notebook, but it may not save that way\n",
    "fig, axes = plt.subplots(nrows = 1, ncols = 1, figsize=(10, 5) )\n",
    "axes.plot(month_number, principal_paid, c = 'b', label = 'Principal')\n",
    "axes.plot(month_number, interest_paid, c= 'k', label = 'Interest')\n",
    "axes.tick_params(axis = 'x', labelsize = 20)\n",
    "axes.tick_params(axis = 'y', labelsize = 20)\n",
    "axes.set_xlim(left =1 , right = 61)\n",
    "axes.set_ylim(bottom = 0, top = 700)\n",
    "axes.set_xlabel('Month', fontsize = 22);\n",
    "axes.set_ylabel('Dollars', fontsize = 22);\n",
    "axes.set_title('Interest and Principal Paid Each Month', fontsize = 24)\n",
    "axes.legend(loc=(1.02,0), borderaxespad=0, fontsize = 20)\n",
    "\n",
    "fig.savefig('images/objectlegendcutoff.png', dpi = 300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# tight_layout()\n",
    "# automatically adjusts subplot params so that the subplot(s) fits in to the figure area\n",
    "fig, axes = plt.subplots(nrows = 1, ncols = 1, figsize=(10, 5) )\n",
    "axes.plot(month_number, principal_paid, c = 'b', label = 'Principal')\n",
    "axes.plot(month_number, interest_paid, c= 'k', label = 'Interest')\n",
    "axes.tick_params(axis = 'x', labelsize = 20)\n",
    "axes.tick_params(axis = 'y', labelsize = 20)\n",
    "axes.set_xlim(left =1 , right = 61)\n",
    "axes.set_ylim(bottom = 0, top = 700)\n",
    "axes.set_xlabel('Month', fontsize = 22);\n",
    "axes.set_ylabel('Dollars', fontsize = 22);\n",
    "axes.set_title('Interest and Principal Paid Each Month', fontsize = 24)\n",
    "axes.legend(loc=(1.02,0), borderaxespad=0, fontsize = 20)\n",
    "\n",
    "fig.tight_layout()\n",
    "fig.savefig('images/objectlegend.png', dpi = 300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
